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8 September, 12:09

Benford's law states that the probability that a number in a set has a given leading digit, d, is

P (d) = log (d + 1) - log (d).

State which property you would use to rewrite the expression as a single logarithm, and rewrite the logarithm. What is the probability that the number 1 is the leading digit? Explain.

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  1. 8 September, 12:50
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    Use the quotient property to rewrite the expression.

    Write the difference of logs as the quotient log ((d+1) / d).

    Substitute 1 for d to get log (2).

    Since log (2) = 0.30, the probability that the number 1 is the leading digit is about 30%.
  2. 8 September, 14:45
    0
    solutions

    Step-by-step explanation:

    use the quotient property to rewrite the expression.

    write the difference of logs as the quotient log ((d+1) / d).

    substitute 1 for d to get log (2).

    since log (2) = 0.30, the probability that the number 1 is the leading digit is about 30%.
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Home » Mathematics » Benford's law states that the probability that a number in a set has a given leading digit, d, is P (d) = log (d + 1) - log (d). State which property you would use to rewrite the expression as a single logarithm, and rewrite the logarithm.
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